### Video Transcript

Write the linear equation π¦ equals three π₯ plus four divided by 12 in standard form.

Standard form is π΄π₯ plus π΅π¦ equals πΆ, where π΄, π΅, and πΆ are constants. Theyβre the numbers. So essentially, we want to get π₯ and π¦ on one side of the equation and then a number all by itself on the other side of the equation.

Our first step would be to multiply both sides of the equation by 12. They cancel on the right-hand side. And we have that 12π¦ is equal to three π₯ plus four. So we need to get π₯ on the left-hand side of the equation to be with the π¦. And then the four will be left by itself on the right.

So letβs go ahead and subtract three π₯ from both sides of the equation. The three π₯s cancel on the right. And then on the left, negative three π₯ and 12π¦ cannot be put together. Theyβre different variables. And in standard form, the variable π₯ is written first and then the variable π¦. So we end up with negative three π₯ plus 12π¦ equals four. So our linear equation written in standard form will be negative three π₯ plus 12π¦ equals four.